Quantization and explicit diagonalization of new compactified trigonometric Ruijsenaars-Schneider systems

@article{Gorbe2017QuantizationAE,
  title={Quantization and explicit diagonalization of new compactified trigonometric Ruijsenaars-Schneider systems},
  author={T. Gorbe and M. Hallnas},
  journal={arXiv: Mathematical Physics},
  year={2017}
}
Recently, Feh\'er and Kluck discovered, at the level of classical mechanics, new compactified trigonometric Ruijsenaars-Schneider $n$-particle systems, with phase space symplectomorphic to the $(n-1)$-dimensional complex projective space. In this article, we quantize the so-called type (i) instances of these systems and explicitly solve the joint eigenvalue problem for the corresponding quantum Hamiltonians by generalising previous results of van Diejen and Vinet. Specifically, the quantum… Expand

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References

SHOWING 1-10 OF 36 REFERENCES
New compact forms of the trigonometric Ruijsenaars-Schneider system
  • 12
  • Highly Influential
  • PDF
Spectra of the quantized action variables of the compactified Ruijsenaars-Schneider system
  • 4
  • PDF
Complete integrability of relativistic Calogero-Moser systems and elliptic function identities
  • 414
  • Highly Influential
  • PDF
Calogero-Moser- Sutherland Models
  • 104
Action-angle maps and scattering theory for some finite-dimensional integrable systems
  • 165
Multivariable q-Racah polynomials
  • 38
  • PDF
Systems of Calogero-Moser Type
  • 103
  • PDF
Trigonometric and Elliptic Ruijsenaars–Schneider Systems on the Complex Projective Space
  • 4
  • PDF
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2
3
4
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